Flow Pressure Analysis of Pipe Networks With Linear Theory Method
Flow Pressure Analysis of Pipe Networks With Linear Theory Method
Flow Pressure Analysis of Pipe Networks With Linear Theory Method
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Abstract: In the paper authors present flow – pressure analysis of transmission systems, linearization of non –
linear equation with LTM method. The method is used on the test case of pipe networks with three nodes. The
analyses of the influence of changing pipe diameter on flow – pressure characteristics of pipe network is made
as well as possibilities of determining defects in designing new current pipe networks.
Key - Words: Fluid mechanics, pipe transmission system, pressure losses, linear theory method
1 i = 1,2,…,N
q vi = p i − p j ⋅ (4)
k +1
K ij ⋅ p i − p j j=1,2,…N
k +1
0,09
2
0,08
1 2 0,07
0,06
0,05
q v [m 3 /s ]
1 3 3 0,04
0,03
in node 3. Node 2 is just an idle node. In the flow – 0 51,2 94,4 125 167,8 204 231,9 254,4 284,3 309,7
d 3rd pipe section [mm]
pressure analysis third pipe diameter was being
1st and 2nd pipe section 3rd pipe section
changed at constant first and second pipes diameters.
Also the changes of flow – pressure conditions were
analysed by using the computer program which was Figure 2: Volume flow rate vs. third pipe diameter
made at on the Faculty of Chemistry and Chemical
Engineering of the University of Maribor.
Proceedings of the 2006 WSEAS/IASME International Conference on Fluid Mechanics, Miami, Florida, USA, January 18-20, 2006 (pp59-62)
4 Symbols
D inner pipe diameter mm
3,5
k pipe roughness mm
3 K coefficient of Darcy – Weisbach
equation
2,5 L pipe length m
M iteration number /
v ( m /s )
2
p pressure kPa
1,5 ∆p pressure loss kPa
Re Reynolds number /
1 v fluid velocity m/s
qv volume flow m3/s
0,5
ε relative mistake /
0 λ friction coefficient /
0 51,2 94,4 125 167,8 204 231,9 254,4 284,3 309,7 ζ local losses coefficient /
d 3rd pipe section (mm) ρ density kg/m3
1st and 2nd pipe sections 3rd section
References:
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